# Exact resurgent trans-series and multibion contributions to all orders

@article{Fujimori2017ExactRT,
title={Exact resurgent trans-series and multibion contributions to all orders},
author={Toshiaki Fujimori and Syo Kamata and Tatsuhiro Misumi and Muneto Nitta and Norisuke Sakai},
journal={Physical Review D},
year={2017},
volume={95},
pages={105001}
}
• Published 2 February 2017
• Physics
• Physical Review D
The full resurgent trans-series is found exactly in near-supersymmetric $\mathbb C P^1$ quantum mechanics. By expanding in powers of the SUSY breaking deformation parameter, we obtain the first and second expansion coefficients of the ground state energy. They are absolutely convergent series of nonperturbative exponentials corresponding to multi-bions with perturbation series on those background. We obtain all multi-bion exact solutions for finite time interval in the complexified theory. We…

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